Find the limits analytically. Show all work and use proper limit notation. √x² +8-3 1. lim X-1 x+1

Q: Let zy Find dx dt dy dt 3 and when I 2. 2.

A:

Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

A:

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Given problem:- A manufacturer is planning to sell a total of 500 machines to both foreign and…

Q: Find the following integrals a) f_d dx x√In x

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: b)show that: I(cosh at cos at) = 5²440*

A: This is a problem related to laplase transform. Here we will use convolution theorem for evaluating…

Q: dy Assuming - 9x3 + 7y2 – 2xy = 0 defines y as a differentiable function of x, use the theorem dx =…

A:

Q: Evaluate [*²*3 sin 2x dx

A:

Q: 3. Stan tan³ 3x sec ¹ 3x dx

A: As per our company guidelines, we are supposed to answer only one question. Kindly post other…

Q: find the final value for the 3 z³ +8 F(z) = = 23-22

A: Given; F(z)=Z^3+8/Z^3-Z^2 We have to find final value

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A: V=4πr3/3 dr/dt = 0.1 cm/min dV/dt =?   dV/dt = 4πr2(dr/dt)   dV/dt = 4(3.14)(9)2(0.1) dV/dt = 101.73…

Q: Question 13 :  A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from…

A:

Q: What is the area of the region enclosed by the graph of r² = 3 + cos 0? √ √3+ cos e de √(3 + cos 0)…

A: We have to choose correct option.

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: Evaluate the limit using L'Hopital's rule. Ansu an INTEGER value, with NO decimals, no spa lim (x-7)…

A:

Q: y" − 3y' + 2y = 4e²t ; y(0) = −3, y '(0) = 5 —e2t4e2t + et 7 7 (1+t)4e²t - 7et 8e2t - 7et -e²t 4te²t…

A:

Q: -1.30 Find the value of the integral 100 √x dx by using simpson method (n = 6)?

A:

Q: create 2 sample word problems of chain rule of differentiation  with solutions

A: Solution:

Q: In evaluating 5 dx is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.67. x²-g…

A:

Q: A lighthouse is on an island 350 meters east of the shore of Lake Bella. The lighthouse beam makes a…

A:

Q: Use Lagrange multipliers to find the critical points and the relative extrema. f(x,y,z) = x² + y² +…

A:

Q: Given the partial decomposition of the rational function for some numbers A, B and C. What is the…

A: Given :x+1(x-1)(x-2)(x+3)=Ax-1+Bx-2+Cx+3

Q: Use polynomial long division to write 2x² + x³ 3x² + 4x-9 - = Q(x) + 1²+1 = p(x) 1²+1

A: To divide using the long division.

Q: Consider the spherical equation given by p = 4 cos sin p. Determine its corre- sponding equation in…

A: Given

Q: The domain and the range of z=cos-¹(x²-y-3). are represented respectively by O A. ¨D={(x,y) = RxR :…

A:

Q: Instructions: Evaluate the following integrals involving the powers of secant, tangent, cosecant,…

A:

Q: dx Consider the integral S (x - 2)³/21 (a) Why is this an improper integral? (b) Determine if the…

A: ∫ 241x-232dx

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx…

A: To evaluate: ∫dxx3+x Let I = ∫dxx3+x Assuming x=u6⇒dx = 6u5du

Q: Use of an Auxiliary Variable Solve the equation. The sum of two positive numbers is 2. Find the…

A: see below the calculation

Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos(0.002) ? 01 O 1.001 O 1.002…

A:

Q: The integral can be rewritten as 6u³ (a). [√ 小 1+1 6u4 (c). Su u² + 1 - du du dx √x + √x S 6u² u² +…

A: Given:       ∫dxx3+x     Prepare for substitution:        =∫16x56·6xx6+1dx  substitute…

Q: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

Q: Consider the vector-valued function In(2t + 1) sin t R(t) = î+ t t Redefine (t) such that it is…

A: we say the R(t)  is continuous at t=0  if limt→0 R→(t)= R(0)

Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = = x² - x + 1 on…

A:

Q: For the given cost function C(z) = 250√ + find 8000 a) The Justion loval 1000 TUNING b) T. duction…

A: For the given cost function Cx=250x+x28000, to find d The production level that will minimize the…

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

A:

Q: H.W Solve the question deferential equation by using separation varibles dy/dx=sin(x+y)+cos(x+y)

A:

Q: Find lim 2-0 -x-1 x²

A:

Q: If v= = (x² + y² +2²), then 925 + 02 +223 is 1 -1 -1/2 O Other:

A:

Q: Part I: Polar Points 1. Name the point (-2,7) in three other ways on −2ñ < 0 < 2ñ

A: Here, the given polar point is: -2,2π3

Q: Solutikn is not clear, can it be handwritten please. Thank you.

A:

Q: Hnew ³ Let w=f(u) + 9 (v); where u = x+iy and V=X-iy, show that w satisfies the Laplace eap. Wxx +…

A:

Q: 7. A rope that weighs 0.5lb/ft is attached to a bucket filled with cement plaster. The cement…

A:

Q: 1.ƒ(x) = 4x³ – 7x² + 2x − 8 -

A:

Q: 1 √3 5) 2 2 / 9) (-1,0) 7) 3√3 3 2 2/3 " 2 ।

A: Topic = Geometry

Q: A farmer wants to fence a rectangular field with an area of 1.5 million ft2. Then he will divide it…

A: Given:             Area of rectangular field A=x·y                                        1.5×106=xy…

Q: Test the convergence of the following series. (a) Σ*, 1 (b) Σπ=1 2 (c) Σπι (d) Σ*-11+n=

A: We have to check convergency of given series

Q: What is r = -12 2 cos 0-7 sin e 2y - 7x = -12 in Cartesian form? x² + y² = -12 2x-7y

A:

Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

A:

Q: Let L(r) be the linearization of f(x) = sin x + 1 at the point x = . Find L(π/2).

A: